Definitely cover the TV with a blanket just to see if that makes a difference.....
A long thread just on that specific topic.
@kalali
I take it the idea is to minimize reflections off the front panel of the television. If so, in your opinion then, would "covering" just the screen/front portion of the panel produce a benefit/improvement in *all* (most?) cases where a flat screen television is between two speakers (and the front panel is perhaps an inch set back from the plane of the drivers)? In this scenario the rear and sides of the television would not be covered. Thanks.